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Finding the Fourth Proportional to 14,885.84, 20,542.38 and 8,171.58

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Solution

The fourth proportional to 14,885.84, 20,542.38 and 8,171.58 is: 11,276.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,885.84 : 20,542.38 = 8,171.58 : x
  2. Step 2: Convert to fraction form
    14,885.84/20,542.38 = 8,171.58/x
  3. Step 3: Cross multiply
    14,885.84x = 20,542.38 × 8,171.58
  4. Step 4: Simplify right side
    14,885.84x = 167,863,816.90
  5. Step 5: Solve for x
    x = 167,863,816.90/14,885.84
  6. Step 6: Final answer
    x = 11,276.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.